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1i) solve x^2-4x-21=0

Factorise to get (x+3)(x-7)=0 
So you can see that x = -3 or x =7 

KI
Answered by Kishwar I. Maths tutor
3605 Views

Give the possible values of x when 2x^2-x-6=0

first of all the equation needs to be written in the form (ax+b)(x+c) 

because 2 can only be made by multiplying 2 and 1 we know that a=2 so (2x+b)(x+c)

-6 can be made by multiplying 2 and -...

NS
Answered by Nina S. Maths tutor
3806 Views

P is directly proportional to Q. When Q = 6, P = 15. Work out the value of P when Q = 3.5

If P is directly proportional to Q then that means if Q increases P will also increase. If Q decreases P will also decrease. Two values that are directly proportional to each other are related to each oth...

ZT
Answered by Zsolt T. Maths tutor
38754 Views

Examine the sequence 1 + 1/3 + (1/3)^2 + … + (1/3)^n Under what condition does it converge? What does it converge to?

This is a sequence in the form 1 + c + c2 + … cn

1 + c + c2 + … cn  * (1 - c) = 1 – cn+1

So we can rewrite the sequence as

1 – c...

HY
Answered by Hanaan Y. Maths tutor
2668 Views

Consider a differential equation where dx/dt = -axt. Find an equation for x(t).

Starting from dx/dt = -axt.                                We treat dx and dt as infinitessimal factors of x and t, therefore fundemental mathematical operations still apply. Rearranging the equation to g...

CL
Answered by Cal L. Maths tutor
4158 Views

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